Answer :
Final answer:
By creating a system of equations from the information provided, you can solve for the number of hours Brian worked at each job. Isolate a variable in one equation, substitute this into the other equation, solve for the variable, and then substitute this back into the first equation to solve for the remaining variable.
Explanation:
This problem can be solved using a system of equations. Let's denote the number of hours Brian worked at Job A as x and at Job B as y.
We know two facts, the total hours he worked (x + y = 32), and how much he earned from both jobs ($6.50*x + $7.40*y = $220.60).
You solve this system of equations to find the values of x and y. Start by isolating one variable in one equation, then substitute this expression in the other equation, and solve for the other variable. After finding this value, insert it back into the first equation to find the value of the first variable.
This way you can find out how many hours Brian worked at each job.
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